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Finding the Fourth Proportional to 43,934.52, 65,893.14 and 11,913

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Solution

The fourth proportional to 43,934.52, 65,893.14 and 11,913 is: 17,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,934.52 : 65,893.14 = 11,913 : x
  2. Step 2: Convert to fraction form
    43,934.52/65,893.14 = 11,913/x
  3. Step 3: Cross multiply
    43,934.52x = 65,893.14 × 11,913
  4. Step 4: Simplify right side
    43,934.52x = 784,984,976.82
  5. Step 5: Solve for x
    x = 784,984,976.82/43,934.52
  6. Step 6: Final answer
    x = 17,867.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.